What is the Least Common Multiple of 21009 and 21021?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 21009 and 21021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21009 and 21021, than apply into the LCM equation.

GCF(21009,21021) = 3
LCM(21009,21021) = ( 21009 × 21021) / 3
LCM(21009,21021) = 441630189 / 3
LCM(21009,21021) = 147210063

Least Common Multiple (LCM) of 21009 and 21021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21009 and 21021. First we will calculate the prime factors of 21009 and 21021.

Prime Factorization of 21009

Prime Factorization of 21021

Now multiplying the highest exponent prime factors to calculate the LCM of 21009 and 21021.

LCM(21009,21021) = 3¹ × 47¹ × 149¹ × 7² × 11¹ × 13¹
LCM(21009,21021) = 147210063